3197288160 has 384 divisors, whose sum is σ = 12419205120. Its totient is φ = 761702400.

The previous prime is 3197288131. The next prime is 3197288191. The reversal of 3197288160 is 618827913.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2898169 + ... + 2899271.

It is an arithmetic number, because the mean of its divisors is an integer number (32341680).

Almost surely, 2^3197288160 is an apocalyptic number.

3197288160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3197288160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6209602560).

3197288160 is an abundant number, since it is smaller than the sum of its proper divisors (9221916960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3197288160 is a wasteful number, since it uses less digits than its factorization.

3197288160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 3197288160 is about 56544.5679088628. The cubic root of 3197288160 is about 1473.1962108120.

The spelling of 3197288160 in words is "three billion, one hundred ninety-seven million, two hundred eighty-eight thousand, one hundred sixty".